Search a number
-
+
2120120120020 = 2257167367247087
BaseRepresentation
bin11110110110100001000…
…000011011001011010100
321111200101211001012011011
4132312201000123023110
5234214001222320040
64301545244022004
7306113360451430
oct36664100331324
97450354035134
102120120120020
11748157599951
122a2a87b31904
13124c075b8176
1474885b439c0
153a2387ae3ea
hex1eda101b2d4

2120120120020 has 96 divisors (see below), whose sum is σ = 5132725420032. Its totient is φ = 720573936768.

The previous prime is 2120120120009. The next prime is 2120120120021. The reversal of 2120120120020 is 200210210212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120120120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8456917 + ... + 8704003.

It is an arithmetic number, because the mean of its divisors is an integer number (53465889792).

Almost surely, 22120120120020 is an apocalyptic number.

2120120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566362710016).

2120120120020 is an abundant number, since it is smaller than the sum of its proper divisors (3012605300012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120120120020 is a wasteful number, since it uses less digits than its factorization.

2120120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247637 (or 247635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120120120020 its reverse (200210210212), we get a palindrome (2320330330232).

The spelling of 2120120120020 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 367 668 734 835 1169 1468 1670 1835 2338 2569 3340 3670 4676 5138 5845 7340 10276 11690 12845 23380 25690 51380 61289 122578 245156 247087 306445 429023 494174 612890 858046 988348 1225780 1235435 1716092 1729609 2145115 2470870 3459218 4290230 4941740 6918436 8580460 8648045 17296090 34592180 41263529 82527058 90680929 165054116 181361858 206317645 288844703 362723716 412635290 453404645 577689406 634766503 825270580 906809290 1155378812 1269533006 1444223515 1813618580 2539066012 2888447030 3173832515 5776894060 6347665030 12695330060 15143715143 30287430286 60574860572 75718575715 106006006001 151437151430 212012012002 302874302860 424024024004 530030030005 1060060060010 2120120120020